List of top Mathematics Questions asked in JEECUP

If \(\log_{10}3=0.4771,\ \log_{10}7=0.8450\), then the value of \(\log_3 7\) is
The L.C.M. of \(\frac{7}{3},\ \frac{5}{6},\ \frac{14}{9}\) is
\(\tan 1^{\circ} \cdot \tan 2^{\circ} \cdot \tan 3^{\circ} \cdots \tan 89^{\circ} =\)
If \(x=2+\sqrt3,\ y=2-\sqrt3\), then the value of \(x^{-3}+y^{-3}\) is
\((x-y)^3+(y-z)^3+(z-x)^3=\)
The order (characteristic) of 0.99 is-

If the radius of a circle is doubled, its area becomes: 

The perimeter of an equilateral triangle whose area is \(4\sqrt{3}\,\text{cm}^2\) is equal to
The value of \(\sin\theta+\cos(90^\circ+\theta)+\sin(180^\circ-\theta)+\sin(180^\circ+\theta)\) is
\(\tan3A-\tan2A\cdot\tan A\) is equal to
If \(7\) is the mean of \(5,3,0.5,4.5,a,8.5,9.5\), then the value of \(a\) is
The value of \(\sqrt[5]{\dfrac{72.9}{0.4096}}\) is

If \(\alpha\) and \(\beta\) are the roots of \(x^2-5x+6=0\), the value of \(\alpha^2+\beta^2\) is: 

The value of \(\sin^2 30^\circ + \cos^2 30^\circ\) is: 

The sum of the first 10 terms of an AP with \(a=2\) and \(d=3\) is: 

Probability of getting a number \(>4\) on a fair die is:
If sin θ + cos θ = √2, what is the value of sin θ · cos θ?
A bag contains 4 red and 6 blue balls. Two balls are drawn at random without replacement. What is the probability that both are red?
The roots of the quadratic equation x² - 5x + k = 0 are real and distinct. What is the range of values for k?
A point P divides the line segment joining A(2, 3) and B(8, 9) in the ratio 1:2. What are the coordinates of P?
The value of \( \sqrt[3]{72.9} \) is:
If 7 is the mean of 5, 3, 0.5, 4.5, \( a \), 8.5, 9.5, then the value of \( a \) is:
Ravi can do \( \frac{3}{4} \) of a work in 12 days. In how many days Ravi can finish the \( \frac{1}{2} \) work?
The volume of the cylinder is \( 448 \pi \, \text{cm}^3 \) and height 7 cm. Then its lateral surface area is:
If \( 5\sqrt{5} \times 5^3 \div 5^{-3/2} = 5^a \), then the value of \( a \) is: